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Q: Philip says truth only one day in a week.
Hint 1: Days are Sun, Mon and so on. Hint 2: One day he says "I lie on Mon and Tue". Hint 3: Next day he says "Today is either Thu, Sat or Sun". Hint 4: Next day he says "I lie on Wed and Fri".
Hint 2 and Hint 3 are LIES, and Hint 4 is TRUE. We know from above that on third day, he must have spoken on a Tuesday, Wed, Thurs, or Sat. The only day which allows this to fit with the converse of Day One (I tell the truth on Monday or Tuesday) is TUESDAY.
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